My Predictions (having not read the books but knowing a lot of the back story from the Blu Ray extras)

Not for season 4 - for the ending of the whole thing - sorry for the spelling SPOILERS

you've been warned...

Dany never even gets to Westeros. She becomes Queen of Essos after freeing all the slaves. She doesn't want to invade Westeros like her ancestors after doing such good.

John Snow is the son of Eddard Stark's sister and Rehgar Targarian (who kidnapped her) which started Robert's rebellion - he's made lord of Winterfell after...

Stannis becomes king (as he rightfully should) after helping defeat the white walkers (with the aid of Bran and his magic three-eyed raven who is really the spirit of the children of the forest who tell him how to defeat the white walkers) and winning the war with the remnants north taking his side (uniting with the Blackfish and killing the Boltons in the meantime)

Tyrion and Jamie get Casterly Rock as consolation even though they've done some evil things - because Tyrion just kicks ass and is a mad (p)imp and Jamie saved half a million people (and not getting credit for it because Ned Stark was an asshole)

The Brotherhood believes in the same god as Stannis (season 3) and makes peace with him and the Red Woman (who's hot and has nice bewbes)